133221 has 12 divisors (see below), whose sum is σ = 195776. Its totient is φ = 80520.

The previous prime is 133213. The next prime is 133241. The reversal of 133221 is 122331.

It is a happy number.

133221 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 133221 - 2³ = 133213 is a prime.

It is a Duffinian number.

133221 is strictly pandigital in base 7.

It is a plaindrome in base 14.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 133197 and 133206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180 + ... + 546.

2¹³³²²¹ is an apocalyptic number.

133221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133221 is a deficient number, since it is larger than the sum of its proper divisors (62555).

133221 is a wasteful number, since it uses less digits than its factorization.

133221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 381 counting only the distinct ones).

The product of its digits is 36, while the sum is 12.

The square root of 133221 is about 364.9945205068. The cubic root of 133221 is about 51.0729444464.

Adding to 133221 its reverse (122331), we get a palindrome (255552).

It can be divided in two parts, 1332 and 21, that multiplied together give a palindrome (27972).

The spelling of 133221 in words is "one hundred thirty-three thousand, two hundred twenty-one".